Answer:
16.4 units
Step-by-step explanation:
Refer to the attached image, just find the hypotenuses of the three additional triangles, and add them up to become the perimeter of the yellow triangle.
Using Pythagoras Theorem:
Hypotenuse of the red triangle
[tex] = \sqrt{ {3}^{2} + {5}^{2} } [/tex]
[tex] = \sqrt{34} [/tex]
Hypotenuse of the blue triangle
[tex] = \sqrt{ {3}^{2} + {3}^{2} } [/tex]
[tex] = \sqrt{18} [/tex]
Hypotenuse of the green triangle
[tex] = \sqrt{ {2}^{2} + {6}^{2} } [/tex]
[tex] = \sqrt{40} [/tex]
The perimeter of the yellow triangle
[tex] = \sqrt{34} + \sqrt{18} + \sqrt{40} [/tex]
[tex] = 16.398...[/tex]
= 16.4 units
